A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 4
... Hence , to add a negative quantity is the same as to subtract that quantity considered absolutely : for to speak of- a being added to x , is to represent a as increased by a quantity , which is less than 0 by the quan- tity a . This ...
... Hence , to add a negative quantity is the same as to subtract that quantity considered absolutely : for to speak of- a being added to x , is to represent a as increased by a quantity , which is less than 0 by the quan- tity a . This ...
Página 12
... Hence a > b means that a is greater than b ; and x < y , that x is less than y . 25. XX . When it is not known which of two quantities is the greater , the mark placed between them indicates that the less is to be subtracted from the ...
... Hence a > b means that a is greater than b ; and x < y , that x is less than y . 25. XX . When it is not known which of two quantities is the greater , the mark placed between them indicates that the less is to be subtracted from the ...
Página 19
... Hence , if equals be divided by equals , the quotients are equal : for , by the nature of division , each dividend is a product , of which the divisor and the quo- tient are the factors ; and since the divisors are equal , the remaining ...
... Hence , if equals be divided by equals , the quotients are equal : for , by the nature of division , each dividend is a product , of which the divisor and the quo- tient are the factors ; and since the divisors are equal , the remaining ...
Página 24
... away , giving x - a , too much has been taken away by the quantity b ; therefore the remainder x - a is too small by b : hence b must be added , which gives x - a + b . EXAMPLES . 1. From 7a2-4ax + 11 take - 3a2 SUBTRACTION.
... away , giving x - a , too much has been taken away by the quantity b ; therefore the remainder x - a is too small by b : hence b must be added , which gives x - a + b . EXAMPLES . 1. From 7a2-4ax + 11 take - 3a2 SUBTRACTION.
Página 29
... hence ( + a ) × ( + b ) = + ba , or + ab ( Art . 11 ) . Secondly , Let it be required to mul- tiply a by + b . This denotes that -a is to be added as often as there and since the sum of are units in b ; any number of negative quantities ...
... hence ( + a ) × ( + b ) = + ba , or + ab ( Art . 11 ) . Secondly , Let it be required to mul- tiply a by + b . This denotes that -a is to be added as often as there and since the sum of are units in b ; any number of negative quantities ...
Términos y frases comunes
2d Edition 4th power a²+b² added Algebra ANSWERS arithmetic means arithmetical bd bd binomial theorem bound cloth coefficients complete quotient compound quantity contained cube root denominator denotes Divide dividend divisor English equal EXAMPLES EXERCISES expression Extract the square factors Find the G. C. M. find the number Find the sum Find the value follows Given Equations gives Grammar greatest common measure Greek Hence indices infinite series integer last Art Latin least common multiple logarithms method nature of division negative quantities nth root number of balls number of terms obtained partial products plain positive quadratic quadratic surd quan quotient rational quantity remainder rule second term sides square root substitution subtracted sum and difference Sum the series surd tities unknown quantity VALPY Valpy's whence whole number
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